参数估计

The samples actually observed. In contrast Bayesian methods view the parameters as random variables having some known a priori distribution.

与此不同的是，贝叶斯估计则把待估计的参数看成是符合某种先验概率分布的随机变量。

Then, followed the analysis of the asympototic properties of maximum likelihood estimation for the seasonal ARFIMA models, the consistency, efficiency and asymptotic normality of the Bayesian estimator are proved.

参照季节性ARFIMA模型的极大似然估计的渐近性质的证明思路，证明了模型参数的贝叶斯估计具有相合性、有效性和渐近正态性。

The auxiliary variable system was constituted, and the recursive algorithm that can reduce the measurement noise interference has been developed. The bias property of LS with input/output measurement noise has been derived, and the self-adaptive deviation compensation principle of measurement noise variance has been proposed, and the corresponding algorithm is designed. The influence of parameters of wavelet modulating on estimation precision is investigated with simulation examples.

2构造了能降低测量噪声干扰的辅助变量系统及递推算法，研究了输入输出端测量噪声影响下最小二乘估计的偏差特性，提出了两种基于测量噪声方差估计的自适应偏差补偿原理并设计相应算法，用仿真算例研究了调制滤波器参数对辨识精度的影响。

Empirical likelihood is a nonparametric statistical method used to construct confidence regions for multivariate means,and more generally,for parameters defined by estimating equations.

经验似然是一种非参数统计方法，用于对多元均值参数和更一般地，由估计方程定义的参数，构造置信域。

Firstly, the method of parameter variety by was tested, however, it is very complexity of computation. So, the method of parameter no-variety had been introduced in paper.

首先讨论了使用时变参数的卡尔曼滤波方法，分析了使用时变参数卡尔曼滤波的优缺点；为了提高计算的效率，本文提出了时不变参数的卡尔曼滤波算法来估计信号的时间延迟。

Density and regression estimation when no parametric model is assumed.

非参数统计推断：平滑方法：非参数统计推断平滑方法：无假定的参数模型时的密度和回归估计。

This will make it easier to sovle the system of linear equations at last.

我们构造了六参数及十二参数三角形能量正交元，用双参数法构造了一个十二参矩形能量正交板元，给出了它们在正则性条件假设下的误差估计。

In this paper, the conditional mean and its applications to Bayesian estimation of the parameters and reliability measures of common failure distribution which include two-parameter exponential distribution, left truncated two-parameter exponential distribution, normal distribution and lognormal distribution are discussed.

本文讨论了条件均值对某些常见失效分布的参数与可靠性测度的Bayes估计的应用，这些分布包括，双参数指数分布，左截尾双参数指数分布，正态分布与对数正态分布。

First the problem of multirate sampled-data reconstruction is studied and data reconstruction method based on wavelet network is proposed.

首先，利用小波网络构造参数子模型，并采用LS方法直接估计第二代参数；然后利用遗传算法和AIC确定参数子模型的结构，以获得最终用于表示LTV系统的二次回归方程，实现时变系统的多尺度经济建模。

In the training of HMM, referring to the auxiliary function in reference〓, and the method in reference〓 to get the estimations of the parameters of Markov chain, we define the likelihood function and auxiliary function for the maximum likelihood estimation of CDHMM, and then induce systematically the forward-backward algorithm and the re-estimation formulas for parameters of CDHMM.

在HMM的建模方面，本文借鉴文献〓中求多变量观测值马尔可夫链参数时辅助函数的选取方法，定义了CDHMM的似然函数和辅助函数；借鉴文献〓中求解马尔可夫链参数时的求偏导方法，并针对本文辅助函数加以简化和改进，系统地推导了HMM的前向—后向算法，以及CDHMM各参数的极大似然估计公式。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新